Abstract
Kerala had a continuous and vigorous tradition of astronomy and mathematics, at least from the 7th century (Sarma 1972). What can be called the ‘Kerala school of astronomy and mathematics’ evolved here during 14th–17th centuries. Mādhava of Saṅgamagrāma (1340–1425) was the father figure of this school. All the later astronomers of Kerala invariably attribute the path-breaking results in infinite series for the inverse tangent, sine and cosine functions and many other innovations in astronomical calculations to him.
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References
Divakaran PP (2007) The first text book of calculus: Yuktibhāṣā. Journal of Indian Philosophy. 35:417
Pillai SK (1958) Tantrasaṅgraha of Nīlakaṇṭha with the Prose Commentary Laghuvivṛtti by Śaṅkara Vāriyar, Ed., Trivandrum Sanskrit Series no.188 Trivandrum Sarma KV (1977) Tantrasaṅgraha with the commentary Yuktidīpikaā by Śaṅkara Vāriyar, Ed., V.V.B. Institute, Panjab University, Hoshiarpur
Ramasubramanian K. and Sriram MS. Tantrasaṅgraha of Nīlakaṇṭha Somayaājī, Translation with explanatory notes, in press
Ramasubramanian K, Srinivas MD, and Sriram MS (1994) ‘Modification of the earlier Indian planetary theory by the Kerala astronomers (c.1500 AD) and the implied heliocentric picture of planetary motion’, Current Science, 66, 784; for details see Vol.II of Ga-yukti-bhāṣā
Ramavarma (Maru) Tampuran HH, and Akhileswarayyar AR (1948) Yuktibhāṣā, Eds, Mangalodayam Ltd. Thrissur
Sarma KV (1972) A History of the Kerala School of Hindu Astronomy (in perspective), Vishveshvaranand Institude, Hoshiarpur
Sarma KV, and Hariharan S (1991) ‘Yuktibhāṣā of Jyeṣṭhadeva’, Indian Journal of History of Science, 26, 2
Sarma KV, and Narasimhan VS (1998) Tantrasaṅgraha of Nīlakaṅṭha Somayājī, Text (KVS) and Translation (VSN), Supplement to the Indian Journal of History of Science, INSA, New Delhi, 33 pp.148
Sarma KV (2004) Gaṅita-Yukti-Bhāṣā of Jyeṣṭhadeva, Ed. Vol.III. Sanskrit text, Indian Institute of Advanced Study, Shimla
Sarma KV, Ramasubramanian K, Srinivas MD, and Sriram MS (2009) Gaṇita-Yukti-Bhāṣā of Jyeṣṭhadeva, Edition of Malayalam text and English translation (KVS) and Explanatory notes (KR, MDS, MSS), Vol.I: Mathematics, Vol.II: Astronomy, Hindustan Book Agency, New Delhi, 2008; Rep. Springer Verlag, new York
Sen SN. ‘Astronomy’ in D. M. Bose, S. N. Sen and BV Su-bbarayappa (1986) A Concise History of Science in India, Indian National Science Academy, New Delhi, 1971; S.N.Sen and K.S.Shukla, Eds. History of astronomy in India, Indian National Science Academy, New Delhi and references therein; for a popular account see S.Balacha-ndra Rao (2008) Indian Astronomy — an Introduction, Universities Press, Hyderabad, (2000) B.VSubbarayappa,The Tradition of Astronomy in India, Jyotiḥśāstra, Vol.IV, Part 4, Centre for Studies in Civilizations, New Delhi
Shukla KS, and Sarma KV (1976)Āryabhaṭīya, Ed. with translation and notes, Indian National Science Academy, New Delhi
Srinivas MD (1990), ‘Indian approach to Science: The case of Jyotiḥśāstra’, os. 19–20, PPST Bulletin, Jume Chennai
Sriram MS (2002) ‘Planetary models in Indian and Greek astronomical traditions’ in 500 years of Tantrasaṅgraha: A Landmark in the History of Astronomy, Eds. M.S.Sriram, K.Ramasubramanian and M.D.Srinivas,Indian Institute of Advanced Study, Shimla
Sverdlow NM, and Neugebauer O (1984) Mathematical Astronomy in Copernicus’s De Revolutionibus, Springer Verlag, New York
Toomer GJ (1984) Ptolemy’s Almagest, Duckworth, London
Whish CM (1834) ‘On the Hindu quadrature of the circle, and the infinite series of the proportion of the circumference of the diameter exhibited in the four shastras, the Tantrasangraham, Yucti Bhasa, Carana Paddhati and Sadratnamala’, Transactions of the Royal Asiatic Society of Great Britain and Ireland, 3, 509
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Sriram, M.S. (2014). Astronomy in Gaṇita-Yuktibhāṣā of Jyeṣṭhadeva (c. 1530). In: Padmanabhan, T. (eds) Astronomy in India: A Historical Perspective. Springer, New Delhi. https://doi.org/10.1007/978-81-8489-998-6_2
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DOI: https://doi.org/10.1007/978-81-8489-998-6_2
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